TSTP Solution File: MGT025+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.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 Aug 22 10:49:35 EDT 2023
% Result : Theorem 5.41s 2.37s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 295 ( 102 unt; 17 typ; 0 def)
% Number of atoms : 737 ( 53 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 873 ( 414 ~; 427 |; 21 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 12 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 203 (; 203 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > subpopulation > in_environment > greater > increases > environment > decreases > constant > sum > number_of_organizations > growth_rate > cardinality_at_time > #nlpp > zero > first_movers > efficient_producers > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(subpopulations,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(greater,type,
greater: ( $i * $i ) > $o ).
tff(number_of_organizations,type,
number_of_organizations: ( $i * $i ) > $i ).
tff(in_environment,type,
in_environment: ( $i * $i ) > $o ).
tff(constant,type,
constant: $i > $o ).
tff(efficient_producers,type,
efficient_producers: $i ).
tff(cardinality_at_time,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff(decreases,type,
decreases: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(environment,type,
environment: $i > $o ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(first_movers,type,
first_movers: $i ).
tff(subpopulation,type,
subpopulation: ( $i * $i * $i ) > $o ).
tff(zero,type,
zero: $i ).
tff(increases,type,
increases: $i > $o ).
tff(f_147,negated_conjecture,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& constant(number_of_organizations(E,T)) )
=> ( ( ( growth_rate(first_movers,T) = zero )
& ( growth_rate(efficient_producers,T) = zero ) )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7) ).
tff(f_114,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur) ).
tff(f_54,axiom,
! [E,T] :
( ( environment(E)
& in_environment(E,T) )
=> ( subpopulation(first_movers,E,T)
& subpopulation(efficient_producers,E,T) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
tff(f_106,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( greater(cardinality_at_time(first_movers,T),zero)
& greater(cardinality_at_time(efficient_producers,T),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers) ).
tff(f_45,axiom,
! [E,X,T] :
( ( environment(E)
& subpopulation(X,E,T)
& ( greater(cardinality_at_time(X,T),zero)
=> ( ( X = efficient_producers )
| ( X = first_movers ) ) ) )
=> ( number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members) ).
tff(f_73,axiom,
! [A,B,C] :
( ( ( A = sum(B,C) )
& constant(A) )
=> ( ( constant(B)
& constant(C) )
| ( increases(B)
& decreases(C) )
| ( decreases(B)
& increases(C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
tff(f_96,axiom,
! [X,E,T] :
( ( environment(E)
& in_environment(E,T)
& subpopulation(X,E,T)
& greater(cardinality_at_time(X,T),zero) )
=> ( ( constant(cardinality_at_time(X,T))
=> ( growth_rate(X,T) = zero ) )
& ( increases(cardinality_at_time(X,T))
=> greater(growth_rate(X,T),zero) )
& ( decreases(cardinality_at_time(X,T))
=> greater(zero,growth_rate(X,T)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate) ).
tff(c_52,plain,
environment('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_50,plain,
subpopulations(first_movers,efficient_producers,'#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_1444,plain,
! [E_378,T_379] :
( in_environment(E_378,T_379)
| ~ subpopulations(first_movers,efficient_producers,E_378,T_379)
| ~ environment(E_378) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1447,plain,
( in_environment('#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_1444]) ).
tff(c_1450,plain,
in_environment('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1447]) ).
tff(c_8,plain,
! [E_4,T_5] :
( subpopulation(efficient_producers,E_4,T_5)
| ~ in_environment(E_4,T_5)
| ~ environment(E_4) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_921,plain,
! [E_233,T_234] :
( in_environment(E_233,T_234)
| ~ subpopulations(first_movers,efficient_producers,E_233,T_234)
| ~ environment(E_233) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_924,plain,
( in_environment('#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_921]) ).
tff(c_927,plain,
in_environment('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_924]) ).
tff(c_59,plain,
! [E_27,T_28] :
( in_environment(E_27,T_28)
| ~ subpopulations(first_movers,efficient_producers,E_27,T_28)
| ~ environment(E_27) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_62,plain,
( in_environment('#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_59]) ).
tff(c_65,plain,
in_environment('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_62]) ).
tff(c_10,plain,
! [E_4,T_5] :
( subpopulation(first_movers,E_4,T_5)
| ~ in_environment(E_4,T_5)
| ~ environment(E_4) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_46,plain,
( ( growth_rate(efficient_producers,'#skF_2') != zero )
| ( growth_rate(first_movers,'#skF_2') != zero ) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_53,plain,
growth_rate(first_movers,'#skF_2') != zero,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_44,plain,
( ~ greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ greater(growth_rate(first_movers,'#skF_2'),zero) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_58,plain,
~ greater(growth_rate(first_movers,'#skF_2'),zero),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_365,plain,
! [T_106,E_107] :
( greater(cardinality_at_time(first_movers,T_106),zero)
| ~ subpopulations(first_movers,efficient_producers,E_107,T_106)
| ~ environment(E_107) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_367,plain,
( greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_365]) ).
tff(c_370,plain,
greater(cardinality_at_time(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_367]) ).
tff(c_79,plain,
! [T_43,E_44] :
( greater(cardinality_at_time(first_movers,T_43),zero)
| ~ subpopulations(first_movers,efficient_producers,E_44,T_43)
| ~ environment(E_44) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_81,plain,
( greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_79]) ).
tff(c_84,plain,
greater(cardinality_at_time(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_81]) ).
tff(c_42,plain,
( ~ greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ greater(growth_rate(efficient_producers,'#skF_2'),zero) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_70,plain,
~ greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_73,plain,
! [T_41,E_42] :
( greater(cardinality_at_time(efficient_producers,T_41),zero)
| ~ subpopulations(first_movers,efficient_producers,E_42,T_41)
| ~ environment(E_42) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_75,plain,
( greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_73]) ).
tff(c_78,plain,
greater(cardinality_at_time(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_75]) ).
tff(c_48,plain,
constant(number_of_organizations('#skF_1','#skF_2')),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_94,plain,
! [T_48,E_49] :
( ( sum(cardinality_at_time(first_movers,T_48),cardinality_at_time(efficient_producers,T_48)) = number_of_organizations(E_49,T_48) )
| ~ subpopulation(efficient_producers,E_49,T_48)
| ~ environment(E_49) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_98,plain,
! [T_50,E_51] :
( ( sum(cardinality_at_time(first_movers,T_50),cardinality_at_time(efficient_producers,T_50)) = number_of_organizations(E_51,T_50) )
| ~ in_environment(E_51,T_50)
| ~ environment(E_51) ),
inference(resolution,[status(thm)],[c_8,c_94]) ).
tff(c_100,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_65,c_98]) ).
tff(c_103,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100]) ).
tff(c_12,plain,
! [C_8,B_7] :
( constant(C_8)
| decreases(C_8)
| increases(C_8)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_107,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_12]) ).
tff(c_132,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_107]) ).
tff(c_148,plain,
increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_132]) ).
tff(c_205,plain,
! [X_65,T_66,E_67] :
( greater(growth_rate(X_65,T_66),zero)
| ~ increases(cardinality_at_time(X_65,T_66))
| ~ greater(cardinality_at_time(X_65,T_66),zero)
| ~ subpopulation(X_65,E_67,T_66)
| ~ in_environment(E_67,T_66)
| ~ environment(E_67) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_212,plain,
! [T_68,E_69] :
( greater(growth_rate(efficient_producers,T_68),zero)
| ~ increases(cardinality_at_time(efficient_producers,T_68))
| ~ greater(cardinality_at_time(efficient_producers,T_68),zero)
| ~ in_environment(E_69,T_68)
| ~ environment(E_69) ),
inference(resolution,[status(thm)],[c_8,c_205]) ).
tff(c_214,plain,
( greater(growth_rate(efficient_producers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_65,c_212]) ).
tff(c_217,plain,
greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_78,c_148,c_214]) ).
tff(c_219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_217]) ).
tff(c_221,plain,
~ increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_132]) ).
tff(c_18,plain,
! [B_7,C_8] :
( constant(B_7)
| increases(B_7)
| increases(C_8)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_125,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_18]) ).
tff(c_144,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_125]) ).
tff(c_223,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_221,c_144]) ).
tff(c_224,plain,
increases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_223]) ).
tff(c_256,plain,
! [X_78,T_79,E_80] :
( greater(growth_rate(X_78,T_79),zero)
| ~ increases(cardinality_at_time(X_78,T_79))
| ~ greater(cardinality_at_time(X_78,T_79),zero)
| ~ subpopulation(X_78,E_80,T_79)
| ~ in_environment(E_80,T_79)
| ~ environment(E_80) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_291,plain,
! [T_85,E_86] :
( greater(growth_rate(first_movers,T_85),zero)
| ~ increases(cardinality_at_time(first_movers,T_85))
| ~ greater(cardinality_at_time(first_movers,T_85),zero)
| ~ in_environment(E_86,T_85)
| ~ environment(E_86) ),
inference(resolution,[status(thm)],[c_10,c_256]) ).
tff(c_293,plain,
( greater(growth_rate(first_movers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(first_movers,'#skF_2'))
| ~ greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_65,c_291]) ).
tff(c_296,plain,
greater(growth_rate(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_84,c_224,c_293]) ).
tff(c_298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_296]) ).
tff(c_299,plain,
constant(cardinality_at_time(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_223]) ).
tff(c_322,plain,
! [X_92,T_93,E_94] :
( ( growth_rate(X_92,T_93) = zero )
| ~ constant(cardinality_at_time(X_92,T_93))
| ~ greater(cardinality_at_time(X_92,T_93),zero)
| ~ subpopulation(X_92,E_94,T_93)
| ~ in_environment(E_94,T_93)
| ~ environment(E_94) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_324,plain,
! [E_94] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_94,'#skF_2')
| ~ in_environment(E_94,'#skF_2')
| ~ environment(E_94) ),
inference(resolution,[status(thm)],[c_84,c_322]) ).
tff(c_329,plain,
! [E_94] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ subpopulation(first_movers,E_94,'#skF_2')
| ~ in_environment(E_94,'#skF_2')
| ~ environment(E_94) ),
inference(demodulation,[status(thm),theory(equality)],[c_299,c_324]) ).
tff(c_341,plain,
! [E_98] :
( ~ subpopulation(first_movers,E_98,'#skF_2')
| ~ in_environment(E_98,'#skF_2')
| ~ environment(E_98) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_329]) ).
tff(c_347,plain,
! [E_99] :
( ~ in_environment(E_99,'#skF_2')
| ~ environment(E_99) ),
inference(resolution,[status(thm)],[c_10,c_341]) ).
tff(c_350,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_65,c_347]) ).
tff(c_354,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_350]) ).
tff(c_355,plain,
~ greater(zero,growth_rate(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_380,plain,
! [T_111,E_112] :
( ( sum(cardinality_at_time(first_movers,T_111),cardinality_at_time(efficient_producers,T_111)) = number_of_organizations(E_112,T_111) )
| ~ subpopulation(efficient_producers,E_112,T_111)
| ~ environment(E_112) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_384,plain,
! [T_113,E_114] :
( ( sum(cardinality_at_time(first_movers,T_113),cardinality_at_time(efficient_producers,T_113)) = number_of_organizations(E_114,T_113) )
| ~ in_environment(E_114,T_113)
| ~ environment(E_114) ),
inference(resolution,[status(thm)],[c_8,c_380]) ).
tff(c_386,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_65,c_384]) ).
tff(c_389,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_386]) ).
tff(c_20,plain,
! [C_8,B_7] :
( constant(C_8)
| decreases(C_8)
| decreases(B_7)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_399,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_389,c_20]) ).
tff(c_422,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_399]) ).
tff(c_436,plain,
decreases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_422]) ).
tff(c_484,plain,
! [X_130,T_131,E_132] :
( greater(zero,growth_rate(X_130,T_131))
| ~ decreases(cardinality_at_time(X_130,T_131))
| ~ greater(cardinality_at_time(X_130,T_131),zero)
| ~ subpopulation(X_130,E_132,T_131)
| ~ in_environment(E_132,T_131)
| ~ environment(E_132) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_486,plain,
! [E_132] :
( greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_132,'#skF_2')
| ~ in_environment(E_132,'#skF_2')
| ~ environment(E_132) ),
inference(resolution,[status(thm)],[c_370,c_484]) ).
tff(c_491,plain,
! [E_132] :
( greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_132,'#skF_2')
| ~ in_environment(E_132,'#skF_2')
| ~ environment(E_132) ),
inference(demodulation,[status(thm),theory(equality)],[c_436,c_486]) ).
tff(c_494,plain,
! [E_133] :
( ~ subpopulation(first_movers,E_133,'#skF_2')
| ~ in_environment(E_133,'#skF_2')
| ~ environment(E_133) ),
inference(negUnitSimplification,[status(thm)],[c_355,c_491]) ).
tff(c_500,plain,
! [E_134] :
( ~ in_environment(E_134,'#skF_2')
| ~ environment(E_134) ),
inference(resolution,[status(thm)],[c_10,c_494]) ).
tff(c_503,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_65,c_500]) ).
tff(c_507,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_503]) ).
tff(c_509,plain,
~ decreases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_422]) ).
tff(c_26,plain,
! [B_7,C_8] :
( constant(B_7)
| increases(B_7)
| decreases(B_7)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_402,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_389,c_26]) ).
tff(c_424,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_402]) ).
tff(c_517,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_509,c_424]) ).
tff(c_518,plain,
increases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_517]) ).
tff(c_573,plain,
! [X_148,T_149,E_150] :
( greater(growth_rate(X_148,T_149),zero)
| ~ increases(cardinality_at_time(X_148,T_149))
| ~ greater(cardinality_at_time(X_148,T_149),zero)
| ~ subpopulation(X_148,E_150,T_149)
| ~ in_environment(E_150,T_149)
| ~ environment(E_150) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_586,plain,
! [T_153,E_154] :
( greater(growth_rate(first_movers,T_153),zero)
| ~ increases(cardinality_at_time(first_movers,T_153))
| ~ greater(cardinality_at_time(first_movers,T_153),zero)
| ~ in_environment(E_154,T_153)
| ~ environment(E_154) ),
inference(resolution,[status(thm)],[c_10,c_573]) ).
tff(c_588,plain,
( greater(growth_rate(first_movers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(first_movers,'#skF_2'))
| ~ greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_65,c_586]) ).
tff(c_591,plain,
greater(growth_rate(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_370,c_518,c_588]) ).
tff(c_593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_591]) ).
tff(c_594,plain,
constant(cardinality_at_time(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_517]) ).
tff(c_608,plain,
! [X_158,T_159,E_160] :
( ( growth_rate(X_158,T_159) = zero )
| ~ constant(cardinality_at_time(X_158,T_159))
| ~ greater(cardinality_at_time(X_158,T_159),zero)
| ~ subpopulation(X_158,E_160,T_159)
| ~ in_environment(E_160,T_159)
| ~ environment(E_160) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_610,plain,
! [E_160] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_160,'#skF_2')
| ~ in_environment(E_160,'#skF_2')
| ~ environment(E_160) ),
inference(resolution,[status(thm)],[c_370,c_608]) ).
tff(c_615,plain,
! [E_160] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ subpopulation(first_movers,E_160,'#skF_2')
| ~ in_environment(E_160,'#skF_2')
| ~ environment(E_160) ),
inference(demodulation,[status(thm),theory(equality)],[c_594,c_610]) ).
tff(c_627,plain,
! [E_164] :
( ~ subpopulation(first_movers,E_164,'#skF_2')
| ~ in_environment(E_164,'#skF_2')
| ~ environment(E_164) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_615]) ).
tff(c_633,plain,
! [E_165] :
( ~ in_environment(E_165,'#skF_2')
| ~ environment(E_165) ),
inference(resolution,[status(thm)],[c_10,c_627]) ).
tff(c_636,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_65,c_633]) ).
tff(c_640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_636]) ).
tff(c_641,plain,
~ greater(zero,growth_rate(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_643,plain,
~ greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_663,plain,
! [T_182,E_183] :
( greater(cardinality_at_time(efficient_producers,T_182),zero)
| ~ subpopulations(first_movers,efficient_producers,E_183,T_182)
| ~ environment(E_183) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_665,plain,
( greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_663]) ).
tff(c_668,plain,
greater(cardinality_at_time(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_665]) ).
tff(c_645,plain,
! [E_168,T_169] :
( in_environment(E_168,T_169)
| ~ subpopulations(first_movers,efficient_producers,E_168,T_169)
| ~ environment(E_168) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_648,plain,
( in_environment('#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_645]) ).
tff(c_651,plain,
in_environment('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_648]) ).
tff(c_678,plain,
! [T_187,E_188] :
( ( sum(cardinality_at_time(first_movers,T_187),cardinality_at_time(efficient_producers,T_187)) = number_of_organizations(E_188,T_187) )
| ~ subpopulation(efficient_producers,E_188,T_187)
| ~ environment(E_188) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_682,plain,
! [T_189,E_190] :
( ( sum(cardinality_at_time(first_movers,T_189),cardinality_at_time(efficient_producers,T_189)) = number_of_organizations(E_190,T_189) )
| ~ in_environment(E_190,T_189)
| ~ environment(E_190) ),
inference(resolution,[status(thm)],[c_8,c_678]) ).
tff(c_684,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_651,c_682]) ).
tff(c_687,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_684]) ).
tff(c_709,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_687,c_18]) ).
tff(c_728,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_709]) ).
tff(c_733,plain,
increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_728]) ).
tff(c_790,plain,
! [X_204,T_205,E_206] :
( greater(growth_rate(X_204,T_205),zero)
| ~ increases(cardinality_at_time(X_204,T_205))
| ~ greater(cardinality_at_time(X_204,T_205),zero)
| ~ subpopulation(X_204,E_206,T_205)
| ~ in_environment(E_206,T_205)
| ~ environment(E_206) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_797,plain,
! [T_207,E_208] :
( greater(growth_rate(efficient_producers,T_207),zero)
| ~ increases(cardinality_at_time(efficient_producers,T_207))
| ~ greater(cardinality_at_time(efficient_producers,T_207),zero)
| ~ in_environment(E_208,T_207)
| ~ environment(E_208) ),
inference(resolution,[status(thm)],[c_8,c_790]) ).
tff(c_799,plain,
( greater(growth_rate(efficient_producers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_651,c_797]) ).
tff(c_802,plain,
greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_668,c_733,c_799]) ).
tff(c_804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_643,c_802]) ).
tff(c_806,plain,
~ increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_728]) ).
tff(c_697,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_687,c_12]) ).
tff(c_720,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_697]) ).
tff(c_854,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_806,c_720]) ).
tff(c_855,plain,
decreases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_854]) ).
tff(c_881,plain,
! [X_225,T_226,E_227] :
( greater(zero,growth_rate(X_225,T_226))
| ~ decreases(cardinality_at_time(X_225,T_226))
| ~ greater(cardinality_at_time(X_225,T_226),zero)
| ~ subpopulation(X_225,E_227,T_226)
| ~ in_environment(E_227,T_226)
| ~ environment(E_227) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_883,plain,
! [E_227] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_227,'#skF_2')
| ~ in_environment(E_227,'#skF_2')
| ~ environment(E_227) ),
inference(resolution,[status(thm)],[c_668,c_881]) ).
tff(c_888,plain,
! [E_227] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_227,'#skF_2')
| ~ in_environment(E_227,'#skF_2')
| ~ environment(E_227) ),
inference(demodulation,[status(thm),theory(equality)],[c_855,c_883]) ).
tff(c_900,plain,
! [E_231] :
( ~ subpopulation(efficient_producers,E_231,'#skF_2')
| ~ in_environment(E_231,'#skF_2')
| ~ environment(E_231) ),
inference(negUnitSimplification,[status(thm)],[c_641,c_888]) ).
tff(c_906,plain,
! [E_232] :
( ~ in_environment(E_232,'#skF_2')
| ~ environment(E_232) ),
inference(resolution,[status(thm)],[c_8,c_900]) ).
tff(c_909,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_651,c_906]) ).
tff(c_913,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_909]) ).
tff(c_915,plain,
~ decreases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_854]) ).
tff(c_805,plain,
( increases(cardinality_at_time(first_movers,'#skF_2'))
| constant(cardinality_at_time(first_movers,'#skF_2')) ),
inference(splitRight,[status(thm)],[c_728]) ).
tff(c_811,plain,
constant(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_805]) ).
tff(c_657,plain,
! [T_180,E_181] :
( greater(cardinality_at_time(first_movers,T_180),zero)
| ~ subpopulations(first_movers,efficient_producers,E_181,T_180)
| ~ environment(E_181) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_659,plain,
( greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_657]) ).
tff(c_662,plain,
greater(cardinality_at_time(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_659]) ).
tff(c_828,plain,
! [X_214,T_215,E_216] :
( ( growth_rate(X_214,T_215) = zero )
| ~ constant(cardinality_at_time(X_214,T_215))
| ~ greater(cardinality_at_time(X_214,T_215),zero)
| ~ subpopulation(X_214,E_216,T_215)
| ~ in_environment(E_216,T_215)
| ~ environment(E_216) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_832,plain,
! [E_216] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_216,'#skF_2')
| ~ in_environment(E_216,'#skF_2')
| ~ environment(E_216) ),
inference(resolution,[status(thm)],[c_662,c_828]) ).
tff(c_836,plain,
! [E_216] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ subpopulation(first_movers,E_216,'#skF_2')
| ~ in_environment(E_216,'#skF_2')
| ~ environment(E_216) ),
inference(demodulation,[status(thm),theory(equality)],[c_811,c_832]) ).
tff(c_838,plain,
! [E_217] :
( ~ subpopulation(first_movers,E_217,'#skF_2')
| ~ in_environment(E_217,'#skF_2')
| ~ environment(E_217) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_836]) ).
tff(c_844,plain,
! [E_218] :
( ~ in_environment(E_218,'#skF_2')
| ~ environment(E_218) ),
inference(resolution,[status(thm)],[c_10,c_838]) ).
tff(c_847,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_651,c_844]) ).
tff(c_851,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_847]) ).
tff(c_853,plain,
~ constant(cardinality_at_time(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_805]) ).
tff(c_14,plain,
! [B_7,C_8] :
( constant(B_7)
| decreases(C_8)
| increases(C_8)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_700,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_687,c_14]) ).
tff(c_722,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_700]) ).
tff(c_918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_806,c_915,c_853,c_722]) ).
tff(c_919,plain,
~ greater(zero,growth_rate(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_955,plain,
! [T_254,E_255] :
( ( sum(cardinality_at_time(first_movers,T_254),cardinality_at_time(efficient_producers,T_254)) = number_of_organizations(E_255,T_254) )
| ~ subpopulation(first_movers,E_255,T_254)
| ~ environment(E_255) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_963,plain,
! [T_258,E_259] :
( ( sum(cardinality_at_time(first_movers,T_258),cardinality_at_time(efficient_producers,T_258)) = number_of_organizations(E_259,T_258) )
| ~ in_environment(E_259,T_258)
| ~ environment(E_259) ),
inference(resolution,[status(thm)],[c_10,c_955]) ).
tff(c_965,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_927,c_963]) ).
tff(c_968,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_965]) ).
tff(c_22,plain,
! [B_7,C_8] :
( constant(B_7)
| decreases(C_8)
| decreases(B_7)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_984,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_968,c_22]) ).
tff(c_1005,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_984]) ).
tff(c_1022,plain,
decreases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1005]) ).
tff(c_934,plain,
! [T_247,E_248] :
( greater(cardinality_at_time(first_movers,T_247),zero)
| ~ subpopulations(first_movers,efficient_producers,E_248,T_247)
| ~ environment(E_248) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_936,plain,
( greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_934]) ).
tff(c_939,plain,
greater(cardinality_at_time(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_936]) ).
tff(c_1058,plain,
! [X_273,T_274,E_275] :
( greater(zero,growth_rate(X_273,T_274))
| ~ decreases(cardinality_at_time(X_273,T_274))
| ~ greater(cardinality_at_time(X_273,T_274),zero)
| ~ subpopulation(X_273,E_275,T_274)
| ~ in_environment(E_275,T_274)
| ~ environment(E_275) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1062,plain,
! [E_275] :
( greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_275,'#skF_2')
| ~ in_environment(E_275,'#skF_2')
| ~ environment(E_275) ),
inference(resolution,[status(thm)],[c_939,c_1058]) ).
tff(c_1068,plain,
! [E_275] :
( greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_275,'#skF_2')
| ~ in_environment(E_275,'#skF_2')
| ~ environment(E_275) ),
inference(demodulation,[status(thm),theory(equality)],[c_1022,c_1062]) ).
tff(c_1070,plain,
! [E_276] :
( ~ subpopulation(first_movers,E_276,'#skF_2')
| ~ in_environment(E_276,'#skF_2')
| ~ environment(E_276) ),
inference(negUnitSimplification,[status(thm)],[c_919,c_1068]) ).
tff(c_1076,plain,
! [E_277] :
( ~ in_environment(E_277,'#skF_2')
| ~ environment(E_277) ),
inference(resolution,[status(thm)],[c_10,c_1070]) ).
tff(c_1079,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_927,c_1076]) ).
tff(c_1083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1079]) ).
tff(c_1084,plain,
( decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| constant(cardinality_at_time(first_movers,'#skF_2')) ),
inference(splitRight,[status(thm)],[c_1005]) ).
tff(c_1095,plain,
constant(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1084]) ).
tff(c_1086,plain,
! [X_278,T_279,E_280] :
( ( growth_rate(X_278,T_279) = zero )
| ~ constant(cardinality_at_time(X_278,T_279))
| ~ greater(cardinality_at_time(X_278,T_279),zero)
| ~ subpopulation(X_278,E_280,T_279)
| ~ in_environment(E_280,T_279)
| ~ environment(E_280) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1090,plain,
! [E_280] :
( ( growth_rate(first_movers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_280,'#skF_2')
| ~ in_environment(E_280,'#skF_2')
| ~ environment(E_280) ),
inference(resolution,[status(thm)],[c_939,c_1086]) ).
tff(c_1094,plain,
! [E_280] :
( ~ constant(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_280,'#skF_2')
| ~ in_environment(E_280,'#skF_2')
| ~ environment(E_280) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_1090]) ).
tff(c_1098,plain,
! [E_281] :
( ~ subpopulation(first_movers,E_281,'#skF_2')
| ~ in_environment(E_281,'#skF_2')
| ~ environment(E_281) ),
inference(demodulation,[status(thm),theory(equality)],[c_1095,c_1094]) ).
tff(c_1104,plain,
! [E_282] :
( ~ in_environment(E_282,'#skF_2')
| ~ environment(E_282) ),
inference(resolution,[status(thm)],[c_10,c_1098]) ).
tff(c_1107,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_927,c_1104]) ).
tff(c_1111,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1107]) ).
tff(c_1112,plain,
decreases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_1084]) ).
tff(c_940,plain,
! [T_249,E_250] :
( greater(cardinality_at_time(efficient_producers,T_249),zero)
| ~ subpopulations(first_movers,efficient_producers,E_250,T_249)
| ~ environment(E_250) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_942,plain,
( greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_940]) ).
tff(c_945,plain,
greater(cardinality_at_time(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_942]) ).
tff(c_1117,plain,
! [X_283,T_284,E_285] :
( greater(zero,growth_rate(X_283,T_284))
| ~ decreases(cardinality_at_time(X_283,T_284))
| ~ greater(cardinality_at_time(X_283,T_284),zero)
| ~ subpopulation(X_283,E_285,T_284)
| ~ in_environment(E_285,T_284)
| ~ environment(E_285) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1119,plain,
! [E_285] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_285,'#skF_2')
| ~ in_environment(E_285,'#skF_2')
| ~ environment(E_285) ),
inference(resolution,[status(thm)],[c_945,c_1117]) ).
tff(c_1124,plain,
! [E_285] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_285,'#skF_2')
| ~ in_environment(E_285,'#skF_2')
| ~ environment(E_285) ),
inference(demodulation,[status(thm),theory(equality)],[c_1112,c_1119]) ).
tff(c_1128,plain,
! [E_286] :
( ~ subpopulation(efficient_producers,E_286,'#skF_2')
| ~ in_environment(E_286,'#skF_2')
| ~ environment(E_286) ),
inference(negUnitSimplification,[status(thm)],[c_641,c_1124]) ).
tff(c_1134,plain,
! [E_287] :
( ~ in_environment(E_287,'#skF_2')
| ~ environment(E_287) ),
inference(resolution,[status(thm)],[c_8,c_1128]) ).
tff(c_1137,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_927,c_1134]) ).
tff(c_1141,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1137]) ).
tff(c_1142,plain,
growth_rate(efficient_producers,'#skF_2') != zero,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_1143,plain,
growth_rate(first_movers,'#skF_2') = zero,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_1144,plain,
~ greater(growth_rate(first_movers,'#skF_2'),zero),
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_1149,plain,
~ greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_1143,c_1144]) ).
tff(c_1174,plain,
! [T_312,E_313] :
( greater(cardinality_at_time(first_movers,T_312),zero)
| ~ subpopulations(first_movers,efficient_producers,E_313,T_312)
| ~ environment(E_313) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1176,plain,
( greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_1174]) ).
tff(c_1179,plain,
greater(cardinality_at_time(first_movers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1176]) ).
tff(c_1159,plain,
! [E_304,T_305] :
( in_environment(E_304,T_305)
| ~ subpopulations(first_movers,efficient_producers,E_304,T_305)
| ~ environment(E_304) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1162,plain,
( in_environment('#skF_1','#skF_2')
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_1159]) ).
tff(c_1165,plain,
in_environment('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1162]) ).
tff(c_1189,plain,
! [T_317,E_318] :
( ( sum(cardinality_at_time(first_movers,T_317),cardinality_at_time(efficient_producers,T_317)) = number_of_organizations(E_318,T_317) )
| ~ subpopulation(efficient_producers,E_318,T_317)
| ~ environment(E_318) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_1193,plain,
! [T_319,E_320] :
( ( sum(cardinality_at_time(first_movers,T_319),cardinality_at_time(efficient_producers,T_319)) = number_of_organizations(E_320,T_319) )
| ~ in_environment(E_320,T_319)
| ~ environment(E_320) ),
inference(resolution,[status(thm)],[c_8,c_1189]) ).
tff(c_1195,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_1165,c_1193]) ).
tff(c_1198,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1195]) ).
tff(c_1214,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_1198,c_20]) ).
tff(c_1235,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1214]) ).
tff(c_1248,plain,
decreases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1235]) ).
tff(c_1280,plain,
! [X_332,T_333,E_334] :
( greater(zero,growth_rate(X_332,T_333))
| ~ decreases(cardinality_at_time(X_332,T_333))
| ~ greater(cardinality_at_time(X_332,T_333),zero)
| ~ subpopulation(X_332,E_334,T_333)
| ~ in_environment(E_334,T_333)
| ~ environment(E_334) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1282,plain,
! [E_334] :
( greater(zero,growth_rate(first_movers,'#skF_2'))
| ~ decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ subpopulation(first_movers,E_334,'#skF_2')
| ~ in_environment(E_334,'#skF_2')
| ~ environment(E_334) ),
inference(resolution,[status(thm)],[c_1179,c_1280]) ).
tff(c_1287,plain,
! [E_334] :
( greater(zero,zero)
| ~ subpopulation(first_movers,E_334,'#skF_2')
| ~ in_environment(E_334,'#skF_2')
| ~ environment(E_334) ),
inference(demodulation,[status(thm),theory(equality)],[c_1248,c_1143,c_1282]) ).
tff(c_1290,plain,
! [E_335] :
( ~ subpopulation(first_movers,E_335,'#skF_2')
| ~ in_environment(E_335,'#skF_2')
| ~ environment(E_335) ),
inference(negUnitSimplification,[status(thm)],[c_1149,c_1287]) ).
tff(c_1296,plain,
! [E_336] :
( ~ in_environment(E_336,'#skF_2')
| ~ environment(E_336) ),
inference(resolution,[status(thm)],[c_10,c_1290]) ).
tff(c_1299,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_1165,c_1296]) ).
tff(c_1303,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1299]) ).
tff(c_1305,plain,
~ decreases(cardinality_at_time(first_movers,'#skF_2')),
inference(splitRight,[status(thm)],[c_1235]) ).
tff(c_1304,plain,
( decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| constant(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(splitRight,[status(thm)],[c_1235]) ).
tff(c_1306,plain,
constant(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1304]) ).
tff(c_1168,plain,
! [T_310,E_311] :
( greater(cardinality_at_time(efficient_producers,T_310),zero)
| ~ subpopulations(first_movers,efficient_producers,E_311,T_310)
| ~ environment(E_311) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1170,plain,
( greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_1168]) ).
tff(c_1173,plain,
greater(cardinality_at_time(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1170]) ).
tff(c_1323,plain,
! [X_340,T_341,E_342] :
( ( growth_rate(X_340,T_341) = zero )
| ~ constant(cardinality_at_time(X_340,T_341))
| ~ greater(cardinality_at_time(X_340,T_341),zero)
| ~ subpopulation(X_340,E_342,T_341)
| ~ in_environment(E_342,T_341)
| ~ environment(E_342) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1327,plain,
! [E_342] :
( ( growth_rate(efficient_producers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_342,'#skF_2')
| ~ in_environment(E_342,'#skF_2')
| ~ environment(E_342) ),
inference(resolution,[status(thm)],[c_1173,c_1323]) ).
tff(c_1332,plain,
! [E_342] :
( ( growth_rate(efficient_producers,'#skF_2') = zero )
| ~ subpopulation(efficient_producers,E_342,'#skF_2')
| ~ in_environment(E_342,'#skF_2')
| ~ environment(E_342) ),
inference(demodulation,[status(thm),theory(equality)],[c_1306,c_1327]) ).
tff(c_1345,plain,
! [E_346] :
( ~ subpopulation(efficient_producers,E_346,'#skF_2')
| ~ in_environment(E_346,'#skF_2')
| ~ environment(E_346) ),
inference(negUnitSimplification,[status(thm)],[c_1142,c_1332]) ).
tff(c_1351,plain,
! [E_347] :
( ~ in_environment(E_347,'#skF_2')
| ~ environment(E_347) ),
inference(resolution,[status(thm)],[c_8,c_1345]) ).
tff(c_1354,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_1165,c_1351]) ).
tff(c_1358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1354]) ).
tff(c_1360,plain,
~ constant(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_1304]) ).
tff(c_24,plain,
! [C_8,B_7] :
( constant(C_8)
| increases(B_7)
| decreases(B_7)
| ~ constant(sum(B_7,C_8)) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_1211,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_1198,c_24]) ).
tff(c_1233,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(first_movers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1211]) ).
tff(c_1361,plain,
increases(cardinality_at_time(first_movers,'#skF_2')),
inference(negUnitSimplification,[status(thm)],[c_1305,c_1360,c_1233]) ).
tff(c_1413,plain,
! [X_359,T_360,E_361] :
( greater(growth_rate(X_359,T_360),zero)
| ~ increases(cardinality_at_time(X_359,T_360))
| ~ greater(cardinality_at_time(X_359,T_360),zero)
| ~ subpopulation(X_359,E_361,T_360)
| ~ in_environment(E_361,T_360)
| ~ environment(E_361) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1420,plain,
! [T_362,E_363] :
( greater(growth_rate(first_movers,T_362),zero)
| ~ increases(cardinality_at_time(first_movers,T_362))
| ~ greater(cardinality_at_time(first_movers,T_362),zero)
| ~ in_environment(E_363,T_362)
| ~ environment(E_363) ),
inference(resolution,[status(thm)],[c_10,c_1413]) ).
tff(c_1422,plain,
( greater(growth_rate(first_movers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(first_movers,'#skF_2'))
| ~ greater(cardinality_at_time(first_movers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_1165,c_1420]) ).
tff(c_1425,plain,
greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1179,c_1361,c_1143,c_1422]) ).
tff(c_1427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1149,c_1425]) ).
tff(c_1428,plain,
~ greater(zero,growth_rate(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_1429,plain,
greater(growth_rate(first_movers,'#skF_2'),zero),
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_1434,plain,
greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_1143,c_1429]) ).
tff(c_1437,plain,
~ greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_1434,c_1143,c_42]) ).
tff(c_1454,plain,
! [T_386,E_387] :
( greater(cardinality_at_time(efficient_producers,T_386),zero)
| ~ subpopulations(first_movers,efficient_producers,E_387,T_386)
| ~ environment(E_387) ),
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_1456,plain,
( greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_50,c_1454]) ).
tff(c_1459,plain,
greater(cardinality_at_time(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1456]) ).
tff(c_1475,plain,
! [T_393,E_394] :
( ( sum(cardinality_at_time(first_movers,T_393),cardinality_at_time(efficient_producers,T_393)) = number_of_organizations(E_394,T_393) )
| ~ subpopulation(first_movers,E_394,T_393)
| ~ environment(E_394) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_1479,plain,
! [T_395,E_396] :
( ( sum(cardinality_at_time(first_movers,T_395),cardinality_at_time(efficient_producers,T_395)) = number_of_organizations(E_396,T_395) )
| ~ in_environment(E_396,T_395)
| ~ environment(E_396) ),
inference(resolution,[status(thm)],[c_10,c_1475]) ).
tff(c_1481,plain,
( ( sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2') )
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_1450,c_1479]) ).
tff(c_1484,plain,
sum(cardinality_at_time(first_movers,'#skF_2'),cardinality_at_time(efficient_producers,'#skF_2')) = number_of_organizations('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1481]) ).
tff(c_1488,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_1484,c_14]) ).
tff(c_1513,plain,
( constant(cardinality_at_time(first_movers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1488]) ).
tff(c_1529,plain,
increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1513]) ).
tff(c_1570,plain,
! [X_408,T_409,E_410] :
( greater(growth_rate(X_408,T_409),zero)
| ~ increases(cardinality_at_time(X_408,T_409))
| ~ greater(cardinality_at_time(X_408,T_409),zero)
| ~ subpopulation(X_408,E_410,T_409)
| ~ in_environment(E_410,T_409)
| ~ environment(E_410) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1584,plain,
! [T_413,E_414] :
( greater(growth_rate(efficient_producers,T_413),zero)
| ~ increases(cardinality_at_time(efficient_producers,T_413))
| ~ greater(cardinality_at_time(efficient_producers,T_413),zero)
| ~ in_environment(E_414,T_413)
| ~ environment(E_414) ),
inference(resolution,[status(thm)],[c_8,c_1570]) ).
tff(c_1586,plain,
( greater(growth_rate(efficient_producers,'#skF_2'),zero)
| ~ increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ greater(cardinality_at_time(efficient_producers,'#skF_2'),zero)
| ~ environment('#skF_1') ),
inference(resolution,[status(thm)],[c_1450,c_1584]) ).
tff(c_1589,plain,
greater(growth_rate(efficient_producers,'#skF_2'),zero),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1459,c_1529,c_1586]) ).
tff(c_1591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1437,c_1589]) ).
tff(c_1593,plain,
~ increases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_1513]) ).
tff(c_1491,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ constant(number_of_organizations('#skF_1','#skF_2')) ),
inference(superposition,[status(thm),theory(equality)],[c_1484,c_12]) ).
tff(c_1515,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| increases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_1491]) ).
tff(c_1605,plain,
( constant(cardinality_at_time(efficient_producers,'#skF_2'))
| decreases(cardinality_at_time(efficient_producers,'#skF_2')) ),
inference(negUnitSimplification,[status(thm)],[c_1593,c_1515]) ).
tff(c_1606,plain,
decreases(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitLeft,[status(thm)],[c_1605]) ).
tff(c_1627,plain,
! [X_423,T_424,E_425] :
( greater(zero,growth_rate(X_423,T_424))
| ~ decreases(cardinality_at_time(X_423,T_424))
| ~ greater(cardinality_at_time(X_423,T_424),zero)
| ~ subpopulation(X_423,E_425,T_424)
| ~ in_environment(E_425,T_424)
| ~ environment(E_425) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1631,plain,
! [E_425] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ decreases(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_425,'#skF_2')
| ~ in_environment(E_425,'#skF_2')
| ~ environment(E_425) ),
inference(resolution,[status(thm)],[c_1459,c_1627]) ).
tff(c_1636,plain,
! [E_425] :
( greater(zero,growth_rate(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_425,'#skF_2')
| ~ in_environment(E_425,'#skF_2')
| ~ environment(E_425) ),
inference(demodulation,[status(thm),theory(equality)],[c_1606,c_1631]) ).
tff(c_1638,plain,
! [E_426] :
( ~ subpopulation(efficient_producers,E_426,'#skF_2')
| ~ in_environment(E_426,'#skF_2')
| ~ environment(E_426) ),
inference(negUnitSimplification,[status(thm)],[c_1428,c_1636]) ).
tff(c_1644,plain,
! [E_427] :
( ~ in_environment(E_427,'#skF_2')
| ~ environment(E_427) ),
inference(resolution,[status(thm)],[c_8,c_1638]) ).
tff(c_1647,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_1450,c_1644]) ).
tff(c_1651,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1647]) ).
tff(c_1652,plain,
constant(cardinality_at_time(efficient_producers,'#skF_2')),
inference(splitRight,[status(thm)],[c_1605]) ).
tff(c_1664,plain,
! [X_431,T_432,E_433] :
( ( growth_rate(X_431,T_432) = zero )
| ~ constant(cardinality_at_time(X_431,T_432))
| ~ greater(cardinality_at_time(X_431,T_432),zero)
| ~ subpopulation(X_431,E_433,T_432)
| ~ in_environment(E_433,T_432)
| ~ environment(E_433) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_1668,plain,
! [E_433] :
( ( growth_rate(efficient_producers,'#skF_2') = zero )
| ~ constant(cardinality_at_time(efficient_producers,'#skF_2'))
| ~ subpopulation(efficient_producers,E_433,'#skF_2')
| ~ in_environment(E_433,'#skF_2')
| ~ environment(E_433) ),
inference(resolution,[status(thm)],[c_1459,c_1664]) ).
tff(c_1674,plain,
! [E_433] :
( ( growth_rate(efficient_producers,'#skF_2') = zero )
| ~ subpopulation(efficient_producers,E_433,'#skF_2')
| ~ in_environment(E_433,'#skF_2')
| ~ environment(E_433) ),
inference(demodulation,[status(thm),theory(equality)],[c_1652,c_1668]) ).
tff(c_1676,plain,
! [E_434] :
( ~ subpopulation(efficient_producers,E_434,'#skF_2')
| ~ in_environment(E_434,'#skF_2')
| ~ environment(E_434) ),
inference(negUnitSimplification,[status(thm)],[c_1142,c_1674]) ).
tff(c_1689,plain,
! [E_438] :
( ~ in_environment(E_438,'#skF_2')
| ~ environment(E_438) ),
inference(resolution,[status(thm)],[c_8,c_1676]) ).
tff(c_1692,plain,
~ environment('#skF_1'),
inference(resolution,[status(thm)],[c_1450,c_1689]) ).
tff(c_1696,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 20:33:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.41/2.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.41/2.42
% 5.41/2.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.88/2.48
% 5.88/2.48 Inference rules
% 5.88/2.48 ----------------------
% 5.88/2.48 #Ref : 0
% 5.88/2.48 #Sup : 283
% 5.88/2.48 #Fact : 0
% 5.88/2.48 #Define : 0
% 5.88/2.48 #Split : 57
% 5.88/2.48 #Chain : 0
% 5.88/2.48 #Close : 0
% 5.88/2.48
% 5.88/2.48 Ordering : KBO
% 5.88/2.48
% 5.88/2.48 Simplification rules
% 5.88/2.48 ----------------------
% 5.88/2.48 #Subsume : 68
% 5.88/2.48 #Demod : 285
% 5.88/2.48 #Tautology : 126
% 5.88/2.48 #SimpNegUnit : 72
% 5.88/2.48 #BackRed : 2
% 5.88/2.48
% 5.88/2.48 #Partial instantiations: 0
% 5.88/2.48 #Strategies tried : 1
% 5.88/2.48
% 5.88/2.48 Timing (in seconds)
% 5.88/2.48 ----------------------
% 5.88/2.48 Preprocessing : 0.53
% 5.88/2.48 Parsing : 0.28
% 5.88/2.48 CNF conversion : 0.03
% 5.88/2.48 Main loop : 0.70
% 5.88/2.48 Inferencing : 0.27
% 5.88/2.48 Reduction : 0.19
% 5.88/2.48 Demodulation : 0.13
% 5.88/2.48 BG Simplification : 0.03
% 5.88/2.48 Subsumption : 0.14
% 5.88/2.48 Abstraction : 0.03
% 5.88/2.48 MUC search : 0.00
% 5.88/2.48 Cooper : 0.00
% 5.88/2.48 Total : 1.35
% 5.88/2.48 Index Insertion : 0.00
% 5.88/2.48 Index Deletion : 0.00
% 5.88/2.48 Index Matching : 0.00
% 5.88/2.48 BG Taut test : 0.00
%------------------------------------------------------------------------------