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 v2.4.0.
% 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 : Unsatisfiable 5.86s 2.55s
% Output : CNFRefutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 41
% Syntax : Number of formulae : 338 ( 114 unt; 17 typ; 0 def)
% Number of atoms : 865 ( 70 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1071 ( 527 ~; 544 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 259 (; 259 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subpopulations > subpopulation > in_environment > greater > increases > environment > decreases > constant > sum > number_of_organizations > growth_rate > cardinality_at_time > #nlpp > zero > sk2 > sk1 > first_movers > efficient_producers
%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(sk2,type,
sk2: $i ).
tff(constant,type,
constant: $i > $o ).
tff(sk1,type,
sk1: $i ).
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(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_258,axiom,
environment(sk1),
file(unknown,unknown) ).
tff(f_259,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file(unknown,unknown) ).
tff(f_244,axiom,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
file(unknown,unknown) ).
tff(f_73,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(efficient_producers,A,B) ),
file(unknown,unknown) ).
tff(f_65,axiom,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(first_movers,A,B) ),
file(unknown,unknown) ).
tff(f_265,axiom,
( ( growth_rate(first_movers,sk2) != zero )
| ( growth_rate(efficient_producers,sk2) != zero ) ),
file(unknown,unknown) ).
tff(f_260,axiom,
constant(number_of_organizations(sk1,sk2)),
file(unknown,unknown) ).
tff(f_46,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ subpopulation(B,A,C)
| ( B != efficient_producers )
| ( number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ) ),
file(unknown,unknown) ).
tff(f_97,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(B)
| increases(B)
| increases(C) ),
file(unknown,unknown) ).
tff(f_228,axiom,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(cardinality_at_time(first_movers,B),zero) ),
file(unknown,unknown) ).
tff(f_186,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ constant(cardinality_at_time(C,B))
| ( growth_rate(C,B) = zero ) ),
file(unknown,unknown) ).
tff(f_270,axiom,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file(unknown,unknown) ).
tff(f_275,axiom,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file(unknown,unknown) ).
tff(f_236,axiom,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(cardinality_at_time(efficient_producers,B),zero) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ subpopulation(B,A,C)
| ( B != first_movers )
| ( number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ) ),
file(unknown,unknown) ).
tff(f_157,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(C)
| decreases(C)
| decreases(B) ),
file(unknown,unknown) ).
tff(f_121,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) ),
file(unknown,unknown) ).
tff(f_203,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ increases(cardinality_at_time(C,B))
| greater(growth_rate(C,B),zero) ),
file(unknown,unknown) ).
tff(f_220,axiom,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ decreases(cardinality_at_time(C,B))
| greater(zero,growth_rate(C,B)) ),
file(unknown,unknown) ).
tff(f_145,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(C)
| increases(B)
| increases(C) ),
file(unknown,unknown) ).
tff(f_85,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(B)
| increases(B)
| decreases(B) ),
file(unknown,unknown) ).
tff(f_109,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(B)
| decreases(C)
| decreases(B) ),
file(unknown,unknown) ).
tff(f_169,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) ),
file(unknown,unknown) ).
tff(f_133,axiom,
! [A,B,C] :
( ( A != sum(B,C) )
| ~ constant(A)
| constant(C)
| increases(B)
| decreases(B) ),
file(unknown,unknown) ).
tff(c_42,plain,
environment(sk1),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_44,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_1326,plain,
! [A_359,B_360] :
( in_environment(A_359,B_360)
| ~ subpopulations(first_movers,efficient_producers,A_359,B_360)
| ~ environment(A_359) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_1329,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1326]) ).
tff(c_1332,plain,
in_environment(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1329]) ).
tff(c_10,plain,
! [A_12,B_13] :
( subpopulation(efficient_producers,A_12,B_13)
| ~ in_environment(A_12,B_13)
| ~ environment(A_12) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_8,plain,
! [A_10,B_11] :
( subpopulation(first_movers,A_10,B_11)
| ~ in_environment(A_10,B_11)
| ~ environment(A_10) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_775,plain,
! [A_223,B_224] :
( in_environment(A_223,B_224)
| ~ subpopulations(first_movers,efficient_producers,A_223,B_224)
| ~ environment(A_223) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_778,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_775]) ).
tff(c_781,plain,
in_environment(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_778]) ).
tff(c_48,plain,
( ( growth_rate(efficient_producers,sk2) != zero )
| ( growth_rate(first_movers,sk2) != zero ) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_53,plain,
growth_rate(first_movers,sk2) != zero,
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_46,plain,
constant(number_of_organizations(sk1,sk2)),
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_809,plain,
! [C_242,A_243] :
( ( sum(cardinality_at_time(first_movers,C_242),cardinality_at_time(efficient_producers,C_242)) = number_of_organizations(A_243,C_242) )
| ~ subpopulation(efficient_producers,A_243,C_242)
| ~ environment(A_243) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_813,plain,
! [B_244,A_245] :
( ( sum(cardinality_at_time(first_movers,B_244),cardinality_at_time(efficient_producers,B_244)) = number_of_organizations(A_245,B_244) )
| ~ in_environment(A_245,B_244)
| ~ environment(A_245) ),
inference(resolution,[status(thm)],[c_10,c_809]) ).
tff(c_815,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_781,c_813]) ).
tff(c_818,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_815]) ).
tff(c_14,plain,
! [C_19,B_18] :
( increases(C_19)
| increases(B_18)
| constant(B_18)
| ~ constant(sum(B_18,C_19)) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_822,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_818,c_14]) ).
tff(c_847,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_822]) ).
tff(c_863,plain,
constant(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_847]) ).
tff(c_794,plain,
! [B_237,A_238] :
( greater(cardinality_at_time(first_movers,B_237),zero)
| ~ subpopulations(first_movers,efficient_producers,A_238,B_237)
| ~ environment(A_238) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_796,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_794]) ).
tff(c_799,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_796]) ).
tff(c_882,plain,
! [C_251,B_252,A_253] :
( ( growth_rate(C_251,B_252) = zero )
| ~ constant(cardinality_at_time(C_251,B_252))
| ~ greater(cardinality_at_time(C_251,B_252),zero)
| ~ subpopulation(C_251,A_253,B_252)
| ~ in_environment(A_253,B_252)
| ~ environment(A_253) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_884,plain,
! [A_253] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_253,sk2)
| ~ in_environment(A_253,sk2)
| ~ environment(A_253) ),
inference(resolution,[status(thm)],[c_799,c_882]) ).
tff(c_889,plain,
! [A_253] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ subpopulation(first_movers,A_253,sk2)
| ~ in_environment(A_253,sk2)
| ~ environment(A_253) ),
inference(demodulation,[status(thm),theory(equality)],[c_863,c_884]) ).
tff(c_894,plain,
! [A_254] :
( ~ subpopulation(first_movers,A_254,sk2)
| ~ in_environment(A_254,sk2)
| ~ environment(A_254) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_889]) ).
tff(c_900,plain,
! [A_255] :
( ~ in_environment(A_255,sk2)
| ~ environment(A_255) ),
inference(resolution,[status(thm)],[c_8,c_894]) ).
tff(c_903,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_781,c_900]) ).
tff(c_907,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_903]) ).
tff(c_909,plain,
~ constant(cardinality_at_time(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_847]) ).
tff(c_50,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_59,plain,
~ greater(growth_rate(first_movers,sk2),zero),
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_497,plain,
! [B_169,A_170] :
( greater(cardinality_at_time(first_movers,B_169),zero)
| ~ subpopulations(first_movers,efficient_producers,A_170,B_169)
| ~ environment(A_170) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_499,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_497]) ).
tff(c_502,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_499]) ).
tff(c_60,plain,
! [A_66,B_67] :
( in_environment(A_66,B_67)
| ~ subpopulations(first_movers,efficient_producers,A_66,B_67)
| ~ environment(A_66) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_63,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_60]) ).
tff(c_66,plain,
in_environment(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_63]) ).
tff(c_52,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_70,plain,
~ greater(growth_rate(efficient_producers,sk2),zero),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_73,plain,
! [B_78,A_79] :
( greater(cardinality_at_time(efficient_producers,B_78),zero)
| ~ subpopulations(first_movers,efficient_producers,A_79,B_78)
| ~ environment(A_79) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_75,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_73]) ).
tff(c_78,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_75]) ).
tff(c_79,plain,
! [B_80,A_81] :
( greater(cardinality_at_time(first_movers,B_80),zero)
| ~ subpopulations(first_movers,efficient_producers,A_81,B_80)
| ~ environment(A_81) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_81,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_79]) ).
tff(c_84,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_81]) ).
tff(c_94,plain,
! [C_85,A_86] :
( ( sum(cardinality_at_time(first_movers,C_85),cardinality_at_time(efficient_producers,C_85)) = number_of_organizations(A_86,C_85) )
| ~ subpopulation(first_movers,A_86,C_85)
| ~ environment(A_86) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_98,plain,
! [B_87,A_88] :
( ( sum(cardinality_at_time(first_movers,B_87),cardinality_at_time(efficient_producers,B_87)) = number_of_organizations(A_88,B_87) )
| ~ in_environment(A_88,B_87)
| ~ environment(A_88) ),
inference(resolution,[status(thm)],[c_8,c_94]) ).
tff(c_100,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_98]) ).
tff(c_103,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_100]) ).
tff(c_24,plain,
! [B_33,C_34] :
( decreases(B_33)
| decreases(C_34)
| constant(C_34)
| ~ constant(sum(B_33,C_34)) ),
inference(cnfTransformation,[status(thm)],[f_157]) ).
tff(c_119,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_24]) ).
tff(c_140,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_119]) ).
tff(c_152,plain,
constant(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_140]) ).
tff(c_277,plain,
! [C_118,B_119,A_120] :
( ( growth_rate(C_118,B_119) = zero )
| ~ constant(cardinality_at_time(C_118,B_119))
| ~ greater(cardinality_at_time(C_118,B_119),zero)
| ~ subpopulation(C_118,A_120,B_119)
| ~ in_environment(A_120,B_119)
| ~ environment(A_120) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_281,plain,
! [A_120] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_120,sk2)
| ~ in_environment(A_120,sk2)
| ~ environment(A_120) ),
inference(resolution,[status(thm)],[c_78,c_277]) ).
tff(c_286,plain,
! [A_120] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ subpopulation(efficient_producers,A_120,sk2)
| ~ in_environment(A_120,sk2)
| ~ environment(A_120) ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_281]) ).
tff(c_292,plain,
! [A_121] :
( ~ subpopulation(efficient_producers,A_121,sk2)
| ~ in_environment(A_121,sk2)
| ~ environment(A_121) ),
inference(splitLeft,[status(thm)],[c_286]) ).
tff(c_298,plain,
! [A_122] :
( ~ in_environment(A_122,sk2)
| ~ environment(A_122) ),
inference(resolution,[status(thm)],[c_10,c_292]) ).
tff(c_301,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_298]) ).
tff(c_305,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_301]) ).
tff(c_306,plain,
growth_rate(efficient_producers,sk2) = zero,
inference(splitRight,[status(thm)],[c_286]) ).
tff(c_314,plain,
~ greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_306,c_70]) ).
tff(c_205,plain,
! [C_102,B_103,A_104] :
( ( growth_rate(C_102,B_103) = zero )
| ~ constant(cardinality_at_time(C_102,B_103))
| ~ greater(cardinality_at_time(C_102,B_103),zero)
| ~ subpopulation(C_102,A_104,B_103)
| ~ in_environment(A_104,B_103)
| ~ environment(A_104) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_209,plain,
! [A_104] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_104,sk2)
| ~ in_environment(A_104,sk2)
| ~ environment(A_104) ),
inference(resolution,[status(thm)],[c_78,c_205]) ).
tff(c_214,plain,
! [A_104] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ subpopulation(efficient_producers,A_104,sk2)
| ~ in_environment(A_104,sk2)
| ~ environment(A_104) ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_209]) ).
tff(c_227,plain,
! [A_108] :
( ~ subpopulation(efficient_producers,A_108,sk2)
| ~ in_environment(A_108,sk2)
| ~ environment(A_108) ),
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_233,plain,
! [A_109] :
( ~ in_environment(A_109,sk2)
| ~ environment(A_109) ),
inference(resolution,[status(thm)],[c_10,c_227]) ).
tff(c_236,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_233]) ).
tff(c_240,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_236]) ).
tff(c_241,plain,
growth_rate(efficient_producers,sk2) = zero,
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_242,plain,
~ greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_241,c_70]) ).
tff(c_18,plain,
! [C_25,B_24] :
( increases(C_25)
| decreases(C_25)
| constant(B_24)
| ~ constant(sum(B_24,C_25)) ),
inference(cnfTransformation,[status(thm)],[f_121]) ).
tff(c_113,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_18]) ).
tff(c_136,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_113]) ).
tff(c_154,plain,
constant(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_136]) ).
tff(c_165,plain,
! [C_94,B_95,A_96] :
( ( growth_rate(C_94,B_95) = zero )
| ~ constant(cardinality_at_time(C_94,B_95))
| ~ greater(cardinality_at_time(C_94,B_95),zero)
| ~ subpopulation(C_94,A_96,B_95)
| ~ in_environment(A_96,B_95)
| ~ environment(A_96) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_167,plain,
! [A_96] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_96,sk2)
| ~ in_environment(A_96,sk2)
| ~ environment(A_96) ),
inference(resolution,[status(thm)],[c_84,c_165]) ).
tff(c_172,plain,
! [A_96] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ subpopulation(first_movers,A_96,sk2)
| ~ in_environment(A_96,sk2)
| ~ environment(A_96) ),
inference(demodulation,[status(thm),theory(equality)],[c_154,c_167]) ).
tff(c_177,plain,
! [A_97] :
( ~ subpopulation(first_movers,A_97,sk2)
| ~ in_environment(A_97,sk2)
| ~ environment(A_97) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_172]) ).
tff(c_183,plain,
! [A_98] :
( ~ in_environment(A_98,sk2)
| ~ environment(A_98) ),
inference(resolution,[status(thm)],[c_8,c_177]) ).
tff(c_186,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_183]) ).
tff(c_190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_186]) ).
tff(c_191,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(splitRight,[status(thm)],[c_136]) ).
tff(c_193,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_191]) ).
tff(c_247,plain,
! [C_110,B_111,A_112] :
( greater(growth_rate(C_110,B_111),zero)
| ~ increases(cardinality_at_time(C_110,B_111))
| ~ greater(cardinality_at_time(C_110,B_111),zero)
| ~ subpopulation(C_110,A_112,B_111)
| ~ in_environment(A_112,B_111)
| ~ environment(A_112) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_254,plain,
! [B_113,A_114] :
( greater(growth_rate(efficient_producers,B_113),zero)
| ~ increases(cardinality_at_time(efficient_producers,B_113))
| ~ greater(cardinality_at_time(efficient_producers,B_113),zero)
| ~ in_environment(A_114,B_113)
| ~ environment(A_114) ),
inference(resolution,[status(thm)],[c_10,c_247]) ).
tff(c_256,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_254]) ).
tff(c_259,plain,
greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_78,c_193,c_241,c_256]) ).
tff(c_261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_242,c_259]) ).
tff(c_262,plain,
decreases(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_191]) ).
tff(c_326,plain,
! [C_128,B_129,A_130] :
( greater(zero,growth_rate(C_128,B_129))
| ~ decreases(cardinality_at_time(C_128,B_129))
| ~ greater(cardinality_at_time(C_128,B_129),zero)
| ~ subpopulation(C_128,A_130,B_129)
| ~ in_environment(A_130,B_129)
| ~ environment(A_130) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_330,plain,
! [A_130] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_130,sk2)
| ~ in_environment(A_130,sk2)
| ~ environment(A_130) ),
inference(resolution,[status(thm)],[c_78,c_326]) ).
tff(c_334,plain,
! [A_130] :
( greater(zero,zero)
| ~ subpopulation(efficient_producers,A_130,sk2)
| ~ in_environment(A_130,sk2)
| ~ environment(A_130) ),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_306,c_330]) ).
tff(c_336,plain,
! [A_131] :
( ~ subpopulation(efficient_producers,A_131,sk2)
| ~ in_environment(A_131,sk2)
| ~ environment(A_131) ),
inference(negUnitSimplification,[status(thm)],[c_314,c_334]) ).
tff(c_342,plain,
! [A_132] :
( ~ in_environment(A_132,sk2)
| ~ environment(A_132) ),
inference(resolution,[status(thm)],[c_10,c_336]) ).
tff(c_345,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_342]) ).
tff(c_349,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_345]) ).
tff(c_351,plain,
~ constant(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_140]) ).
tff(c_22,plain,
! [C_31,B_30] :
( increases(C_31)
| increases(B_30)
| constant(C_31)
| ~ constant(sum(B_30,C_31)) ),
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_125,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_103,c_22]) ).
tff(c_144,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_125]) ).
tff(c_362,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(negUnitSimplification,[status(thm)],[c_351,c_144]) ).
tff(c_363,plain,
increases(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_362]) ).
tff(c_378,plain,
! [C_139,B_140,A_141] :
( greater(growth_rate(C_139,B_140),zero)
| ~ increases(cardinality_at_time(C_139,B_140))
| ~ greater(cardinality_at_time(C_139,B_140),zero)
| ~ subpopulation(C_139,A_141,B_140)
| ~ in_environment(A_141,B_140)
| ~ environment(A_141) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_444,plain,
! [B_153,A_154] :
( greater(growth_rate(first_movers,B_153),zero)
| ~ increases(cardinality_at_time(first_movers,B_153))
| ~ greater(cardinality_at_time(first_movers,B_153),zero)
| ~ in_environment(A_154,B_153)
| ~ environment(A_154) ),
inference(resolution,[status(thm)],[c_8,c_378]) ).
tff(c_446,plain,
( greater(growth_rate(first_movers,sk2),zero)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_444]) ).
tff(c_449,plain,
greater(growth_rate(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_84,c_363,c_446]) ).
tff(c_451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59,c_449]) ).
tff(c_452,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_362]) ).
tff(c_468,plain,
! [C_158,B_159,A_160] :
( greater(growth_rate(C_158,B_159),zero)
| ~ increases(cardinality_at_time(C_158,B_159))
| ~ greater(cardinality_at_time(C_158,B_159),zero)
| ~ subpopulation(C_158,A_160,B_159)
| ~ in_environment(A_160,B_159)
| ~ environment(A_160) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_479,plain,
! [B_161,A_162] :
( greater(growth_rate(efficient_producers,B_161),zero)
| ~ increases(cardinality_at_time(efficient_producers,B_161))
| ~ greater(cardinality_at_time(efficient_producers,B_161),zero)
| ~ in_environment(A_162,B_161)
| ~ environment(A_162) ),
inference(resolution,[status(thm)],[c_10,c_468]) ).
tff(c_481,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_479]) ).
tff(c_484,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_78,c_452,c_481]) ).
tff(c_486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70,c_484]) ).
tff(c_487,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_512,plain,
! [C_174,A_175] :
( ( sum(cardinality_at_time(first_movers,C_174),cardinality_at_time(efficient_producers,C_174)) = number_of_organizations(A_175,C_174) )
| ~ subpopulation(first_movers,A_175,C_174)
| ~ environment(A_175) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_520,plain,
! [B_178,A_179] :
( ( sum(cardinality_at_time(first_movers,B_178),cardinality_at_time(efficient_producers,B_178)) = number_of_organizations(A_179,B_178) )
| ~ in_environment(A_179,B_178)
| ~ environment(A_179) ),
inference(resolution,[status(thm)],[c_8,c_512]) ).
tff(c_522,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_520]) ).
tff(c_525,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_522]) ).
tff(c_12,plain,
! [B_15,C_16] :
( decreases(B_15)
| increases(B_15)
| constant(B_15)
| ~ constant(sum(B_15,C_16)) ),
inference(cnfTransformation,[status(thm)],[f_85]) ).
tff(c_529,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_525,c_12]) ).
tff(c_554,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_529]) ).
tff(c_570,plain,
constant(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_554]) ).
tff(c_581,plain,
! [C_183,B_184,A_185] :
( ( growth_rate(C_183,B_184) = zero )
| ~ constant(cardinality_at_time(C_183,B_184))
| ~ greater(cardinality_at_time(C_183,B_184),zero)
| ~ subpopulation(C_183,A_185,B_184)
| ~ in_environment(A_185,B_184)
| ~ environment(A_185) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_583,plain,
! [A_185] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_185,sk2)
| ~ in_environment(A_185,sk2)
| ~ environment(A_185) ),
inference(resolution,[status(thm)],[c_502,c_581]) ).
tff(c_588,plain,
! [A_185] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ subpopulation(first_movers,A_185,sk2)
| ~ in_environment(A_185,sk2)
| ~ environment(A_185) ),
inference(demodulation,[status(thm),theory(equality)],[c_570,c_583]) ).
tff(c_593,plain,
! [A_186] :
( ~ subpopulation(first_movers,A_186,sk2)
| ~ in_environment(A_186,sk2)
| ~ environment(A_186) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_588]) ).
tff(c_599,plain,
! [A_187] :
( ~ in_environment(A_187,sk2)
| ~ environment(A_187) ),
inference(resolution,[status(thm)],[c_8,c_593]) ).
tff(c_602,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_599]) ).
tff(c_606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_602]) ).
tff(c_607,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(splitRight,[status(thm)],[c_554]) ).
tff(c_616,plain,
decreases(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_607]) ).
tff(c_677,plain,
! [C_202,B_203,A_204] :
( greater(zero,growth_rate(C_202,B_203))
| ~ decreases(cardinality_at_time(C_202,B_203))
| ~ greater(cardinality_at_time(C_202,B_203),zero)
| ~ subpopulation(C_202,A_204,B_203)
| ~ in_environment(A_204,B_203)
| ~ environment(A_204) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_679,plain,
! [A_204] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_204,sk2)
| ~ in_environment(A_204,sk2)
| ~ environment(A_204) ),
inference(resolution,[status(thm)],[c_502,c_677]) ).
tff(c_684,plain,
! [A_204] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulation(first_movers,A_204,sk2)
| ~ in_environment(A_204,sk2)
| ~ environment(A_204) ),
inference(demodulation,[status(thm),theory(equality)],[c_616,c_679]) ).
tff(c_689,plain,
! [A_205] :
( ~ subpopulation(first_movers,A_205,sk2)
| ~ in_environment(A_205,sk2)
| ~ environment(A_205) ),
inference(negUnitSimplification,[status(thm)],[c_487,c_684]) ).
tff(c_695,plain,
! [A_206] :
( ~ in_environment(A_206,sk2)
| ~ environment(A_206) ),
inference(resolution,[status(thm)],[c_8,c_689]) ).
tff(c_698,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_66,c_695]) ).
tff(c_702,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_698]) ).
tff(c_703,plain,
increases(cardinality_at_time(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_607]) ).
tff(c_757,plain,
! [C_218,B_219,A_220] :
( greater(growth_rate(C_218,B_219),zero)
| ~ increases(cardinality_at_time(C_218,B_219))
| ~ greater(cardinality_at_time(C_218,B_219),zero)
| ~ subpopulation(C_218,A_220,B_219)
| ~ in_environment(A_220,B_219)
| ~ environment(A_220) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_765,plain,
! [B_221,A_222] :
( greater(growth_rate(first_movers,B_221),zero)
| ~ increases(cardinality_at_time(first_movers,B_221))
| ~ greater(cardinality_at_time(first_movers,B_221),zero)
| ~ in_environment(A_222,B_221)
| ~ environment(A_222) ),
inference(resolution,[status(thm)],[c_8,c_757]) ).
tff(c_767,plain,
( greater(growth_rate(first_movers,sk2),zero)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_66,c_765]) ).
tff(c_770,plain,
greater(growth_rate(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_502,c_703,c_767]) ).
tff(c_772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59,c_770]) ).
tff(c_773,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_16,plain,
! [B_21,C_22] :
( decreases(B_21)
| decreases(C_22)
| constant(B_21)
| ~ constant(sum(B_21,C_22)) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_837,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_818,c_16]) ).
tff(c_857,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_837]) ).
tff(c_973,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(negUnitSimplification,[status(thm)],[c_909,c_857]) ).
tff(c_974,plain,
decreases(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_973]) ).
tff(c_788,plain,
! [B_235,A_236] :
( greater(cardinality_at_time(efficient_producers,B_235),zero)
| ~ subpopulations(first_movers,efficient_producers,A_236,B_235)
| ~ environment(A_236) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_790,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_788]) ).
tff(c_793,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_790]) ).
tff(c_1012,plain,
! [C_284,B_285,A_286] :
( greater(zero,growth_rate(C_284,B_285))
| ~ decreases(cardinality_at_time(C_284,B_285))
| ~ greater(cardinality_at_time(C_284,B_285),zero)
| ~ subpopulation(C_284,A_286,B_285)
| ~ in_environment(A_286,B_285)
| ~ environment(A_286) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1016,plain,
! [A_286] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_286,sk2)
| ~ in_environment(A_286,sk2)
| ~ environment(A_286) ),
inference(resolution,[status(thm)],[c_793,c_1012]) ).
tff(c_1020,plain,
! [A_286] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_286,sk2)
| ~ in_environment(A_286,sk2)
| ~ environment(A_286) ),
inference(demodulation,[status(thm),theory(equality)],[c_974,c_1016]) ).
tff(c_1022,plain,
! [A_287] :
( ~ subpopulation(efficient_producers,A_287,sk2)
| ~ in_environment(A_287,sk2)
| ~ environment(A_287) ),
inference(negUnitSimplification,[status(thm)],[c_773,c_1020]) ).
tff(c_1028,plain,
! [A_288] :
( ~ in_environment(A_288,sk2)
| ~ environment(A_288) ),
inference(resolution,[status(thm)],[c_10,c_1022]) ).
tff(c_1031,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_781,c_1028]) ).
tff(c_1035,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1031]) ).
tff(c_1037,plain,
~ decreases(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_973]) ).
tff(c_787,plain,
~ greater(growth_rate(efficient_producers,sk2),zero),
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_908,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(splitRight,[status(thm)],[c_847]) ).
tff(c_914,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_908]) ).
tff(c_941,plain,
! [C_264,B_265,A_266] :
( greater(growth_rate(C_264,B_265),zero)
| ~ increases(cardinality_at_time(C_264,B_265))
| ~ greater(cardinality_at_time(C_264,B_265),zero)
| ~ subpopulation(C_264,A_266,B_265)
| ~ in_environment(A_266,B_265)
| ~ environment(A_266) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_954,plain,
! [B_269,A_270] :
( greater(growth_rate(efficient_producers,B_269),zero)
| ~ increases(cardinality_at_time(efficient_producers,B_269))
| ~ greater(cardinality_at_time(efficient_producers,B_269),zero)
| ~ in_environment(A_270,B_269)
| ~ environment(A_270) ),
inference(resolution,[status(thm)],[c_10,c_941]) ).
tff(c_956,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_781,c_954]) ).
tff(c_959,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_793,c_914,c_956]) ).
tff(c_961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_787,c_959]) ).
tff(c_963,plain,
~ increases(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_908]) ).
tff(c_834,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_818,c_18]) ).
tff(c_855,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_834]) ).
tff(c_1048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_909,c_1037,c_963,c_855]) ).
tff(c_1049,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_1072,plain,
! [C_299,A_300] :
( ( sum(cardinality_at_time(first_movers,C_299),cardinality_at_time(efficient_producers,C_299)) = number_of_organizations(A_300,C_299) )
| ~ subpopulation(efficient_producers,A_300,C_299)
| ~ environment(A_300) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1076,plain,
! [B_301,A_302] :
( ( sum(cardinality_at_time(first_movers,B_301),cardinality_at_time(efficient_producers,B_301)) = number_of_organizations(A_302,B_301) )
| ~ in_environment(A_302,B_301)
| ~ environment(A_302) ),
inference(resolution,[status(thm)],[c_10,c_1072]) ).
tff(c_1078,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_781,c_1076]) ).
tff(c_1081,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1078]) ).
tff(c_1085,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_1081,c_14]) ).
tff(c_1110,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1085]) ).
tff(c_1126,plain,
constant(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_1110]) ).
tff(c_1051,plain,
! [B_292,A_293] :
( greater(cardinality_at_time(first_movers,B_292),zero)
| ~ subpopulations(first_movers,efficient_producers,A_293,B_292)
| ~ environment(A_293) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_1053,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1051]) ).
tff(c_1056,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1053]) ).
tff(c_1145,plain,
! [C_308,B_309,A_310] :
( ( growth_rate(C_308,B_309) = zero )
| ~ constant(cardinality_at_time(C_308,B_309))
| ~ greater(cardinality_at_time(C_308,B_309),zero)
| ~ subpopulation(C_308,A_310,B_309)
| ~ in_environment(A_310,B_309)
| ~ environment(A_310) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_1149,plain,
! [A_310] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ constant(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_310,sk2)
| ~ in_environment(A_310,sk2)
| ~ environment(A_310) ),
inference(resolution,[status(thm)],[c_1056,c_1145]) ).
tff(c_1155,plain,
! [A_310] :
( ( growth_rate(first_movers,sk2) = zero )
| ~ subpopulation(first_movers,A_310,sk2)
| ~ in_environment(A_310,sk2)
| ~ environment(A_310) ),
inference(demodulation,[status(thm),theory(equality)],[c_1126,c_1149]) ).
tff(c_1157,plain,
! [A_311] :
( ~ subpopulation(first_movers,A_311,sk2)
| ~ in_environment(A_311,sk2)
| ~ environment(A_311) ),
inference(negUnitSimplification,[status(thm)],[c_53,c_1155]) ).
tff(c_1163,plain,
! [A_312] :
( ~ in_environment(A_312,sk2)
| ~ environment(A_312) ),
inference(resolution,[status(thm)],[c_8,c_1157]) ).
tff(c_1166,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_781,c_1163]) ).
tff(c_1170,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1166]) ).
tff(c_1172,plain,
~ constant(cardinality_at_time(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_1110]) ).
tff(c_1100,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_1081,c_16]) ).
tff(c_1120,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1100]) ).
tff(c_1178,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(negUnitSimplification,[status(thm)],[c_1172,c_1120]) ).
tff(c_1179,plain,
decreases(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_1178]) ).
tff(c_1057,plain,
! [B_294,A_295] :
( greater(cardinality_at_time(efficient_producers,B_294),zero)
| ~ subpopulations(first_movers,efficient_producers,A_295,B_294)
| ~ environment(A_295) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_1059,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1057]) ).
tff(c_1062,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1059]) ).
tff(c_1223,plain,
! [C_328,B_329,A_330] :
( greater(zero,growth_rate(C_328,B_329))
| ~ decreases(cardinality_at_time(C_328,B_329))
| ~ greater(cardinality_at_time(C_328,B_329),zero)
| ~ subpopulation(C_328,A_330,B_329)
| ~ in_environment(A_330,B_329)
| ~ environment(A_330) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1225,plain,
! [A_330] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_330,sk2)
| ~ in_environment(A_330,sk2)
| ~ environment(A_330) ),
inference(resolution,[status(thm)],[c_1062,c_1223]) ).
tff(c_1230,plain,
! [A_330] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_330,sk2)
| ~ in_environment(A_330,sk2)
| ~ environment(A_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_1179,c_1225]) ).
tff(c_1235,plain,
! [A_331] :
( ~ subpopulation(efficient_producers,A_331,sk2)
| ~ in_environment(A_331,sk2)
| ~ environment(A_331) ),
inference(negUnitSimplification,[status(thm)],[c_773,c_1230]) ).
tff(c_1241,plain,
! [A_332] :
( ~ in_environment(A_332,sk2)
| ~ environment(A_332) ),
inference(resolution,[status(thm)],[c_10,c_1235]) ).
tff(c_1244,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_781,c_1241]) ).
tff(c_1248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1244]) ).
tff(c_1249,plain,
decreases(cardinality_at_time(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_1178]) ).
tff(c_1290,plain,
! [C_344,B_345,A_346] :
( greater(zero,growth_rate(C_344,B_345))
| ~ decreases(cardinality_at_time(C_344,B_345))
| ~ greater(cardinality_at_time(C_344,B_345),zero)
| ~ subpopulation(C_344,A_346,B_345)
| ~ in_environment(A_346,B_345)
| ~ environment(A_346) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1294,plain,
! [A_346] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_346,sk2)
| ~ in_environment(A_346,sk2)
| ~ environment(A_346) ),
inference(resolution,[status(thm)],[c_1056,c_1290]) ).
tff(c_1299,plain,
! [A_346] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ subpopulation(first_movers,A_346,sk2)
| ~ in_environment(A_346,sk2)
| ~ environment(A_346) ),
inference(demodulation,[status(thm),theory(equality)],[c_1249,c_1294]) ).
tff(c_1301,plain,
! [A_347] :
( ~ subpopulation(first_movers,A_347,sk2)
| ~ in_environment(A_347,sk2)
| ~ environment(A_347) ),
inference(negUnitSimplification,[status(thm)],[c_1049,c_1299]) ).
tff(c_1307,plain,
! [A_348] :
( ~ in_environment(A_348,sk2)
| ~ environment(A_348) ),
inference(resolution,[status(thm)],[c_8,c_1301]) ).
tff(c_1310,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_781,c_1307]) ).
tff(c_1314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1310]) ).
tff(c_1316,plain,
growth_rate(first_movers,sk2) = zero,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_1333,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(zero,zero) ),
inference(demodulation,[status(thm),theory(equality)],[c_1316,c_50]) ).
tff(c_1334,plain,
~ greater(zero,zero),
inference(splitLeft,[status(thm)],[c_1333]) ).
tff(c_1341,plain,
! [B_371,A_372] :
( greater(cardinality_at_time(first_movers,B_371),zero)
| ~ subpopulations(first_movers,efficient_producers,A_372,B_371)
| ~ environment(A_372) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_1343,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1341]) ).
tff(c_1346,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1343]) ).
tff(c_1315,plain,
growth_rate(efficient_producers,sk2) != zero,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_1362,plain,
! [C_378,A_379] :
( ( sum(cardinality_at_time(first_movers,C_378),cardinality_at_time(efficient_producers,C_378)) = number_of_organizations(A_379,C_378) )
| ~ subpopulation(efficient_producers,A_379,C_378)
| ~ environment(A_379) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1366,plain,
! [B_380,A_381] :
( ( sum(cardinality_at_time(first_movers,B_380),cardinality_at_time(efficient_producers,B_380)) = number_of_organizations(A_381,B_380) )
| ~ in_environment(A_381,B_380)
| ~ environment(A_381) ),
inference(resolution,[status(thm)],[c_10,c_1362]) ).
tff(c_1368,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_1332,c_1366]) ).
tff(c_1371,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1368]) ).
tff(c_26,plain,
! [C_37,B_36] :
( increases(C_37)
| decreases(C_37)
| constant(C_37)
| ~ constant(sum(B_36,C_37)) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_1375,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_1371,c_26]) ).
tff(c_1400,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1375]) ).
tff(c_1416,plain,
constant(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_1400]) ).
tff(c_1347,plain,
! [B_373,A_374] :
( greater(cardinality_at_time(efficient_producers,B_373),zero)
| ~ subpopulations(first_movers,efficient_producers,A_374,B_373)
| ~ environment(A_374) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_1349,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1347]) ).
tff(c_1352,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1349]) ).
tff(c_1435,plain,
! [C_387,B_388,A_389] :
( ( growth_rate(C_387,B_388) = zero )
| ~ constant(cardinality_at_time(C_387,B_388))
| ~ greater(cardinality_at_time(C_387,B_388),zero)
| ~ subpopulation(C_387,A_389,B_388)
| ~ in_environment(A_389,B_388)
| ~ environment(A_389) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_1437,plain,
! [A_389] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_389,sk2)
| ~ in_environment(A_389,sk2)
| ~ environment(A_389) ),
inference(resolution,[status(thm)],[c_1352,c_1435]) ).
tff(c_1442,plain,
! [A_389] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ subpopulation(efficient_producers,A_389,sk2)
| ~ in_environment(A_389,sk2)
| ~ environment(A_389) ),
inference(demodulation,[status(thm),theory(equality)],[c_1416,c_1437]) ).
tff(c_1447,plain,
! [A_390] :
( ~ subpopulation(efficient_producers,A_390,sk2)
| ~ in_environment(A_390,sk2)
| ~ environment(A_390) ),
inference(negUnitSimplification,[status(thm)],[c_1315,c_1442]) ).
tff(c_1453,plain,
! [A_391] :
( ~ in_environment(A_391,sk2)
| ~ environment(A_391) ),
inference(resolution,[status(thm)],[c_10,c_1447]) ).
tff(c_1456,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_1332,c_1453]) ).
tff(c_1460,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1456]) ).
tff(c_1462,plain,
~ constant(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_1400]) ).
tff(c_20,plain,
! [B_27,C_28] :
( decreases(B_27)
| increases(B_27)
| constant(C_28)
| ~ constant(sum(B_27,C_28)) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_1396,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_1371,c_20]) ).
tff(c_1414,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1396]) ).
tff(c_1492,plain,
( decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(negUnitSimplification,[status(thm)],[c_1462,c_1414]) ).
tff(c_1493,plain,
increases(cardinality_at_time(first_movers,sk2)),
inference(splitLeft,[status(thm)],[c_1492]) ).
tff(c_1506,plain,
! [C_403,B_404,A_405] :
( greater(growth_rate(C_403,B_404),zero)
| ~ increases(cardinality_at_time(C_403,B_404))
| ~ greater(cardinality_at_time(C_403,B_404),zero)
| ~ subpopulation(C_403,A_405,B_404)
| ~ in_environment(A_405,B_404)
| ~ environment(A_405) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_1515,plain,
! [B_406,A_407] :
( greater(growth_rate(first_movers,B_406),zero)
| ~ increases(cardinality_at_time(first_movers,B_406))
| ~ greater(cardinality_at_time(first_movers,B_406),zero)
| ~ in_environment(A_407,B_406)
| ~ environment(A_407) ),
inference(resolution,[status(thm)],[c_8,c_1506]) ).
tff(c_1517,plain,
( greater(growth_rate(first_movers,sk2),zero)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_1332,c_1515]) ).
tff(c_1520,plain,
greater(zero,zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1346,c_1493,c_1316,c_1517]) ).
tff(c_1522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1334,c_1520]) ).
tff(c_1523,plain,
decreases(cardinality_at_time(first_movers,sk2)),
inference(splitRight,[status(thm)],[c_1492]) ).
tff(c_1527,plain,
! [C_408,B_409,A_410] :
( greater(zero,growth_rate(C_408,B_409))
| ~ decreases(cardinality_at_time(C_408,B_409))
| ~ greater(cardinality_at_time(C_408,B_409),zero)
| ~ subpopulation(C_408,A_410,B_409)
| ~ in_environment(A_410,B_409)
| ~ environment(A_410) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1531,plain,
! [A_410] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,A_410,sk2)
| ~ in_environment(A_410,sk2)
| ~ environment(A_410) ),
inference(resolution,[status(thm)],[c_1346,c_1527]) ).
tff(c_1537,plain,
! [A_410] :
( greater(zero,zero)
| ~ subpopulation(first_movers,A_410,sk2)
| ~ in_environment(A_410,sk2)
| ~ environment(A_410) ),
inference(demodulation,[status(thm),theory(equality)],[c_1523,c_1316,c_1531]) ).
tff(c_1539,plain,
! [A_411] :
( ~ subpopulation(first_movers,A_411,sk2)
| ~ in_environment(A_411,sk2)
| ~ environment(A_411) ),
inference(negUnitSimplification,[status(thm)],[c_1334,c_1537]) ).
tff(c_1552,plain,
! [A_415] :
( ~ in_environment(A_415,sk2)
| ~ environment(A_415) ),
inference(resolution,[status(thm)],[c_8,c_1539]) ).
tff(c_1555,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_1332,c_1552]) ).
tff(c_1559,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1555]) ).
tff(c_1560,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_1333]) ).
tff(c_1561,plain,
greater(zero,zero),
inference(splitRight,[status(thm)],[c_1333]) ).
tff(c_1565,plain,
~ greater(growth_rate(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_1561,c_1316,c_52]) ).
tff(c_1575,plain,
! [B_428,A_429] :
( greater(cardinality_at_time(efficient_producers,B_428),zero)
| ~ subpopulations(first_movers,efficient_producers,A_429,B_428)
| ~ environment(A_429) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_1577,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_44,c_1575]) ).
tff(c_1580,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1577]) ).
tff(c_1590,plain,
! [C_433,A_434] :
( ( sum(cardinality_at_time(first_movers,C_433),cardinality_at_time(efficient_producers,C_433)) = number_of_organizations(A_434,C_433) )
| ~ subpopulation(efficient_producers,A_434,C_433)
| ~ environment(A_434) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_1594,plain,
! [B_435,A_436] :
( ( sum(cardinality_at_time(first_movers,B_435),cardinality_at_time(efficient_producers,B_435)) = number_of_organizations(A_436,B_435) )
| ~ in_environment(A_436,B_435)
| ~ environment(A_436) ),
inference(resolution,[status(thm)],[c_10,c_1590]) ).
tff(c_1596,plain,
( ( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) )
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_1332,c_1594]) ).
tff(c_1599,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1596]) ).
tff(c_1603,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| ~ constant(number_of_organizations(sk1,sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_1599,c_26]) ).
tff(c_1628,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_46,c_1603]) ).
tff(c_1644,plain,
constant(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_1628]) ).
tff(c_1663,plain,
! [C_442,B_443,A_444] :
( ( growth_rate(C_442,B_443) = zero )
| ~ constant(cardinality_at_time(C_442,B_443))
| ~ greater(cardinality_at_time(C_442,B_443),zero)
| ~ subpopulation(C_442,A_444,B_443)
| ~ in_environment(A_444,B_443)
| ~ environment(A_444) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_1665,plain,
! [A_444] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_444,sk2)
| ~ in_environment(A_444,sk2)
| ~ environment(A_444) ),
inference(resolution,[status(thm)],[c_1580,c_1663]) ).
tff(c_1670,plain,
! [A_444] :
( ( growth_rate(efficient_producers,sk2) = zero )
| ~ subpopulation(efficient_producers,A_444,sk2)
| ~ in_environment(A_444,sk2)
| ~ environment(A_444) ),
inference(demodulation,[status(thm),theory(equality)],[c_1644,c_1665]) ).
tff(c_1675,plain,
! [A_445] :
( ~ subpopulation(efficient_producers,A_445,sk2)
| ~ in_environment(A_445,sk2)
| ~ environment(A_445) ),
inference(negUnitSimplification,[status(thm)],[c_1315,c_1670]) ).
tff(c_1681,plain,
! [A_446] :
( ~ in_environment(A_446,sk2)
| ~ environment(A_446) ),
inference(resolution,[status(thm)],[c_10,c_1675]) ).
tff(c_1684,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_1332,c_1681]) ).
tff(c_1688,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1684]) ).
tff(c_1689,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(splitRight,[status(thm)],[c_1628]) ).
tff(c_1695,plain,
increases(cardinality_at_time(efficient_producers,sk2)),
inference(splitLeft,[status(thm)],[c_1689]) ).
tff(c_1782,plain,
! [C_469,B_470,A_471] :
( greater(growth_rate(C_469,B_470),zero)
| ~ increases(cardinality_at_time(C_469,B_470))
| ~ greater(cardinality_at_time(C_469,B_470),zero)
| ~ subpopulation(C_469,A_471,B_470)
| ~ in_environment(A_471,B_470)
| ~ environment(A_471) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_1805,plain,
! [B_477,A_478] :
( greater(growth_rate(efficient_producers,B_477),zero)
| ~ increases(cardinality_at_time(efficient_producers,B_477))
| ~ greater(cardinality_at_time(efficient_producers,B_477),zero)
| ~ in_environment(A_478,B_477)
| ~ environment(A_478) ),
inference(resolution,[status(thm)],[c_10,c_1782]) ).
tff(c_1807,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c_1332,c_1805]) ).
tff(c_1810,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1580,c_1695,c_1807]) ).
tff(c_1812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1565,c_1810]) ).
tff(c_1813,plain,
decreases(cardinality_at_time(efficient_producers,sk2)),
inference(splitRight,[status(thm)],[c_1689]) ).
tff(c_1843,plain,
! [C_485,B_486,A_487] :
( greater(zero,growth_rate(C_485,B_486))
| ~ decreases(cardinality_at_time(C_485,B_486))
| ~ greater(cardinality_at_time(C_485,B_486),zero)
| ~ subpopulation(C_485,A_487,B_486)
| ~ in_environment(A_487,B_486)
| ~ environment(A_487) ),
inference(cnfTransformation,[status(thm)],[f_220]) ).
tff(c_1845,plain,
! [A_487] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_487,sk2)
| ~ in_environment(A_487,sk2)
| ~ environment(A_487) ),
inference(resolution,[status(thm)],[c_1580,c_1843]) ).
tff(c_1850,plain,
! [A_487] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,A_487,sk2)
| ~ in_environment(A_487,sk2)
| ~ environment(A_487) ),
inference(demodulation,[status(thm),theory(equality)],[c_1813,c_1845]) ).
tff(c_1854,plain,
! [A_488] :
( ~ subpopulation(efficient_producers,A_488,sk2)
| ~ in_environment(A_488,sk2)
| ~ environment(A_488) ),
inference(negUnitSimplification,[status(thm)],[c_1560,c_1850]) ).
tff(c_1867,plain,
! [A_492] :
( ~ in_environment(A_492,sk2)
| ~ environment(A_492) ),
inference(resolution,[status(thm)],[c_10,c_1854]) ).
tff(c_1870,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c_1332,c_1867]) ).
tff(c_1874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 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 20:34:03 EDT 2023
% 0.13/0.36 % CPUTime :
% 5.86/2.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/2.63
% 6.45/2.63 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.51/2.71
% 6.51/2.71 Inference rules
% 6.51/2.71 ----------------------
% 6.51/2.71 #Ref : 0
% 6.51/2.71 #Sup : 312
% 6.51/2.71 #Fact : 0
% 6.51/2.71 #Define : 0
% 6.51/2.71 #Split : 59
% 6.51/2.71 #Chain : 0
% 6.51/2.71 #Close : 0
% 6.51/2.71
% 6.51/2.71 Ordering : KBO
% 6.51/2.71
% 6.51/2.71 Simplification rules
% 6.51/2.71 ----------------------
% 6.51/2.71 #Subsume : 87
% 6.51/2.71 #Demod : 336
% 6.51/2.71 #Tautology : 146
% 6.51/2.71 #SimpNegUnit : 100
% 6.51/2.71 #BackRed : 3
% 6.51/2.71
% 6.51/2.71 #Partial instantiations: 0
% 6.51/2.71 #Strategies tried : 1
% 6.51/2.71
% 6.51/2.71 Timing (in seconds)
% 6.51/2.71 ----------------------
% 6.86/2.71 Preprocessing : 0.53
% 6.86/2.71 Parsing : 0.28
% 6.86/2.71 CNF conversion : 0.03
% 6.86/2.71 Main loop : 0.96
% 6.86/2.71 Inferencing : 0.37
% 6.86/2.72 Reduction : 0.28
% 6.86/2.72 Demodulation : 0.18
% 6.86/2.72 BG Simplification : 0.04
% 6.86/2.72 Subsumption : 0.17
% 6.86/2.72 Abstraction : 0.04
% 6.86/2.72 MUC search : 0.00
% 6.86/2.72 Cooper : 0.00
% 6.86/2.72 Total : 1.66
% 6.86/2.72 Index Insertion : 0.00
% 6.86/2.72 Index Deletion : 0.00
% 6.86/2.72 Index Matching : 0.00
% 6.86/2.72 BG Taut test : 0.00
%------------------------------------------------------------------------------